It is not normal. The tiredness of your eyes may let the eyes get infection because of the coming invisible bacterium. You should do something to stop the eyes twitches. You could use the eyes drops to release the symptom. You could also do the warm compress to make the eyes feel comfortable. You must do something to make the eyes get recover and get the bright eyes again.
It is normal to get eye twitch when you are tired. In fact, tired eyes, dry eyes, lacking of sleep and too much coffee intake can cause twitching eyes. As your description, your twitching eyes are caused by tired eyes, just take a rest, it will recover. Besides, get enough sleep can also help your eyes. If you can't recover after two or three days, you shall visit an doctor for an eyes check.